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AP_NavEKF3: convert EKF3 derivation to ftype

This commit is contained in:
Andrew Tridgell 2021-07-12 09:03:50 +10:00 committed by Randy Mackay
parent e11c94602b
commit c988f23389
3 changed files with 296 additions and 296 deletions
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132
libraries/AP_NavEKF3/derivation/generated/acc_bf_generated.cpp
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@ -1,38 +1,38 @@
// Axis 0 equations
// Sub Expressions
const float HK0 = vn - vwn;
const float HK1 = ve - vwe;
const float HK2 = HK0*q0 + HK1*q3 - q2*vd;
const float HK3 = 2*Kaccx;
const float HK4 = HK0*q1 + HK1*q2 + q3*vd;
const float HK5 = HK0*q2 - HK1*q1 + q0*vd;
const float HK6 = -HK0*q3 + HK1*q0 + q1*vd;
const float HK7 = powf(q0, 2) + powf(q1, 2) - powf(q2, 2) - powf(q3, 2);
const float HK8 = HK7*Kaccx;
const float HK9 = q0*q3 + q1*q2;
const float HK10 = HK3*HK9;
const float HK11 = q0*q2 - q1*q3;
const float HK12 = 2*HK9;
const float HK13 = 2*HK11;
const float HK14 = 2*HK4;
const float HK15 = 2*HK2;
const float HK16 = 2*HK5;
const float HK17 = 2*HK6;
const float HK18 = -HK12*P[0][23] + HK12*P[0][5] - HK13*P[0][6] + HK14*P[0][1] + HK15*P[0][0] - HK16*P[0][2] + HK17*P[0][3] - HK7*P[0][22] + HK7*P[0][4];
const float HK19 = HK12*P[5][23];
const float HK20 = -HK12*P[23][23] - HK13*P[6][23] + HK14*P[1][23] + HK15*P[0][23] - HK16*P[2][23] + HK17*P[3][23] + HK19 - HK7*P[22][23] + HK7*P[4][23];
const float HK21 = powf(Kaccx, 2);
const float HK22 = HK12*HK21;
const float HK23 = HK12*P[5][5] - HK13*P[5][6] + HK14*P[1][5] + HK15*P[0][5] - HK16*P[2][5] + HK17*P[3][5] - HK19 + HK7*P[4][5] - HK7*P[5][22];
const float HK24 = HK12*P[5][6] - HK12*P[6][23] - HK13*P[6][6] + HK14*P[1][6] + HK15*P[0][6] - HK16*P[2][6] + HK17*P[3][6] + HK7*P[4][6] - HK7*P[6][22];
const float HK25 = HK7*P[4][22];
const float HK26 = -HK12*P[4][23] + HK12*P[4][5] - HK13*P[4][6] + HK14*P[1][4] + HK15*P[0][4] - HK16*P[2][4] + HK17*P[3][4] - HK25 + HK7*P[4][4];
const float HK27 = HK21*HK7;
const float HK28 = -HK12*P[22][23] + HK12*P[5][22] - HK13*P[6][22] + HK14*P[1][22] + HK15*P[0][22] - HK16*P[2][22] + HK17*P[3][22] + HK25 - HK7*P[22][22];
const float HK29 = -HK12*P[1][23] + HK12*P[1][5] - HK13*P[1][6] + HK14*P[1][1] + HK15*P[0][1] - HK16*P[1][2] + HK17*P[1][3] - HK7*P[1][22] + HK7*P[1][4];
const float HK30 = -HK12*P[2][23] + HK12*P[2][5] - HK13*P[2][6] + HK14*P[1][2] + HK15*P[0][2] - HK16*P[2][2] + HK17*P[2][3] - HK7*P[2][22] + HK7*P[2][4];
const float HK31 = -HK12*P[3][23] + HK12*P[3][5] - HK13*P[3][6] + HK14*P[1][3] + HK15*P[0][3] - HK16*P[2][3] + HK17*P[3][3] - HK7*P[3][22] + HK7*P[3][4];
const float HK32 = Kaccx/(-HK13*HK21*HK24 + HK14*HK21*HK29 + HK15*HK18*HK21 - HK16*HK21*HK30 + HK17*HK21*HK31 - HK20*HK22 + HK22*HK23 + HK26*HK27 - HK27*HK28 + R_ACC);
const ftype HK0 = vn - vwn;
const ftype HK1 = ve - vwe;
const ftype HK2 = HK0*q0 + HK1*q3 - q2*vd;
const ftype HK3 = 2*Kaccx;
const ftype HK4 = HK0*q1 + HK1*q2 + q3*vd;
const ftype HK5 = HK0*q2 - HK1*q1 + q0*vd;
const ftype HK6 = -HK0*q3 + HK1*q0 + q1*vd;
const ftype HK7 = sq(q0) + sq(q1) - sq(q2) - sq(q3);
const ftype HK8 = HK7*Kaccx;
const ftype HK9 = q0*q3 + q1*q2;
const ftype HK10 = HK3*HK9;
const ftype HK11 = q0*q2 - q1*q3;
const ftype HK12 = 2*HK9;
const ftype HK13 = 2*HK11;
const ftype HK14 = 2*HK4;
const ftype HK15 = 2*HK2;
const ftype HK16 = 2*HK5;
const ftype HK17 = 2*HK6;
const ftype HK18 = -HK12*P[0][23] + HK12*P[0][5] - HK13*P[0][6] + HK14*P[0][1] + HK15*P[0][0] - HK16*P[0][2] + HK17*P[0][3] - HK7*P[0][22] + HK7*P[0][4];
const ftype HK19 = HK12*P[5][23];
const ftype HK20 = -HK12*P[23][23] - HK13*P[6][23] + HK14*P[1][23] + HK15*P[0][23] - HK16*P[2][23] + HK17*P[3][23] + HK19 - HK7*P[22][23] + HK7*P[4][23];
const ftype HK21 = sq(Kaccx);
const ftype HK22 = HK12*HK21;
const ftype HK23 = HK12*P[5][5] - HK13*P[5][6] + HK14*P[1][5] + HK15*P[0][5] - HK16*P[2][5] + HK17*P[3][5] - HK19 + HK7*P[4][5] - HK7*P[5][22];
const ftype HK24 = HK12*P[5][6] - HK12*P[6][23] - HK13*P[6][6] + HK14*P[1][6] + HK15*P[0][6] - HK16*P[2][6] + HK17*P[3][6] + HK7*P[4][6] - HK7*P[6][22];
const ftype HK25 = HK7*P[4][22];
const ftype HK26 = -HK12*P[4][23] + HK12*P[4][5] - HK13*P[4][6] + HK14*P[1][4] + HK15*P[0][4] - HK16*P[2][4] + HK17*P[3][4] - HK25 + HK7*P[4][4];
const ftype HK27 = HK21*HK7;
const ftype HK28 = -HK12*P[22][23] + HK12*P[5][22] - HK13*P[6][22] + HK14*P[1][22] + HK15*P[0][22] - HK16*P[2][22] + HK17*P[3][22] + HK25 - HK7*P[22][22];
const ftype HK29 = -HK12*P[1][23] + HK12*P[1][5] - HK13*P[1][6] + HK14*P[1][1] + HK15*P[0][1] - HK16*P[1][2] + HK17*P[1][3] - HK7*P[1][22] + HK7*P[1][4];
const ftype HK30 = -HK12*P[2][23] + HK12*P[2][5] - HK13*P[2][6] + HK14*P[1][2] + HK15*P[0][2] - HK16*P[2][2] + HK17*P[2][3] - HK7*P[2][22] + HK7*P[2][4];
const ftype HK31 = -HK12*P[3][23] + HK12*P[3][5] - HK13*P[3][6] + HK14*P[1][3] + HK15*P[0][3] - HK16*P[2][3] + HK17*P[3][3] - HK7*P[3][22] + HK7*P[3][4];
const ftype HK32 = Kaccx/(-HK13*HK21*HK24 + HK14*HK21*HK29 + HK15*HK18*HK21 - HK16*HK21*HK30 + HK17*HK21*HK31 - HK20*HK22 + HK22*HK23 + HK26*HK27 - HK27*HK28 + R_ACC);
// Observation Jacobians
@ -91,39 +91,39 @@ Kfusion[23] = -HK20*HK32;
// Axis 1 equations
// Sub Expressions
const float HK0 = ve - vwe;
const float HK1 = vn - vwn;
const float HK2 = HK0*q0 - HK1*q3 + q1*vd;
const float HK3 = 2*Kaccy;
const float HK4 = -HK0*q1 + HK1*q2 + q0*vd;
const float HK5 = HK0*q2 + HK1*q1 + q3*vd;
const float HK6 = HK0*q3 + HK1*q0 - q2*vd;
const float HK7 = q0*q3 - q1*q2;
const float HK8 = HK3*HK7;
const float HK9 = powf(q0, 2) - powf(q1, 2) + powf(q2, 2) - powf(q3, 2);
const float HK10 = HK9*Kaccy;
const float HK11 = q0*q1 + q2*q3;
const float HK12 = 2*HK11;
const float HK13 = 2*HK7;
const float HK14 = 2*HK5;
const float HK15 = 2*HK2;
const float HK16 = 2*HK4;
const float HK17 = 2*HK6;
const float HK18 = HK12*P[0][6] + HK13*P[0][22] - HK13*P[0][4] + HK14*P[0][2] + HK15*P[0][0] + HK16*P[0][1] - HK17*P[0][3] - HK9*P[0][23] + HK9*P[0][5];
const float HK19 = powf(Kaccy, 2);
const float HK20 = HK12*P[6][6] - HK13*P[4][6] + HK13*P[6][22] + HK14*P[2][6] + HK15*P[0][6] + HK16*P[1][6] - HK17*P[3][6] + HK9*P[5][6] - HK9*P[6][23];
const float HK21 = HK13*P[4][22];
const float HK22 = HK12*P[6][22] + HK13*P[22][22] + HK14*P[2][22] + HK15*P[0][22] + HK16*P[1][22] - HK17*P[3][22] - HK21 - HK9*P[22][23] + HK9*P[5][22];
const float HK23 = HK13*HK19;
const float HK24 = HK12*P[4][6] - HK13*P[4][4] + HK14*P[2][4] + HK15*P[0][4] + HK16*P[1][4] - HK17*P[3][4] + HK21 - HK9*P[4][23] + HK9*P[4][5];
const float HK25 = HK9*P[5][23];
const float HK26 = HK12*P[5][6] - HK13*P[4][5] + HK13*P[5][22] + HK14*P[2][5] + HK15*P[0][5] + HK16*P[1][5] - HK17*P[3][5] - HK25 + HK9*P[5][5];
const float HK27 = HK19*HK9;
const float HK28 = HK12*P[6][23] + HK13*P[22][23] - HK13*P[4][23] + HK14*P[2][23] + HK15*P[0][23] + HK16*P[1][23] - HK17*P[3][23] + HK25 - HK9*P[23][23];
const float HK29 = HK12*P[2][6] + HK13*P[2][22] - HK13*P[2][4] + HK14*P[2][2] + HK15*P[0][2] + HK16*P[1][2] - HK17*P[2][3] - HK9*P[2][23] + HK9*P[2][5];
const float HK30 = HK12*P[1][6] + HK13*P[1][22] - HK13*P[1][4] + HK14*P[1][2] + HK15*P[0][1] + HK16*P[1][1] - HK17*P[1][3] - HK9*P[1][23] + HK9*P[1][5];
const float HK31 = HK12*P[3][6] + HK13*P[3][22] - HK13*P[3][4] + HK14*P[2][3] + HK15*P[0][3] + HK16*P[1][3] - HK17*P[3][3] - HK9*P[3][23] + HK9*P[3][5];
const float HK32 = Kaccy/(HK12*HK19*HK20 + HK14*HK19*HK29 + HK15*HK18*HK19 + HK16*HK19*HK30 - HK17*HK19*HK31 + HK22*HK23 - HK23*HK24 + HK26*HK27 - HK27*HK28 + R_ACC);
const ftype HK0 = ve - vwe;
const ftype HK1 = vn - vwn;
const ftype HK2 = HK0*q0 - HK1*q3 + q1*vd;
const ftype HK3 = 2*Kaccy;
const ftype HK4 = -HK0*q1 + HK1*q2 + q0*vd;
const ftype HK5 = HK0*q2 + HK1*q1 + q3*vd;
const ftype HK6 = HK0*q3 + HK1*q0 - q2*vd;
const ftype HK7 = q0*q3 - q1*q2;
const ftype HK8 = HK3*HK7;
const ftype HK9 = sq(q0) - sq(q1) + sq(q2) - sq(q3);
const ftype HK10 = HK9*Kaccy;
const ftype HK11 = q0*q1 + q2*q3;
const ftype HK12 = 2*HK11;
const ftype HK13 = 2*HK7;
const ftype HK14 = 2*HK5;
const ftype HK15 = 2*HK2;
const ftype HK16 = 2*HK4;
const ftype HK17 = 2*HK6;
const ftype HK18 = HK12*P[0][6] + HK13*P[0][22] - HK13*P[0][4] + HK14*P[0][2] + HK15*P[0][0] + HK16*P[0][1] - HK17*P[0][3] - HK9*P[0][23] + HK9*P[0][5];
const ftype HK19 = sq(Kaccy);
const ftype HK20 = HK12*P[6][6] - HK13*P[4][6] + HK13*P[6][22] + HK14*P[2][6] + HK15*P[0][6] + HK16*P[1][6] - HK17*P[3][6] + HK9*P[5][6] - HK9*P[6][23];
const ftype HK21 = HK13*P[4][22];
const ftype HK22 = HK12*P[6][22] + HK13*P[22][22] + HK14*P[2][22] + HK15*P[0][22] + HK16*P[1][22] - HK17*P[3][22] - HK21 - HK9*P[22][23] + HK9*P[5][22];
const ftype HK23 = HK13*HK19;
const ftype HK24 = HK12*P[4][6] - HK13*P[4][4] + HK14*P[2][4] + HK15*P[0][4] + HK16*P[1][4] - HK17*P[3][4] + HK21 - HK9*P[4][23] + HK9*P[4][5];
const ftype HK25 = HK9*P[5][23];
const ftype HK26 = HK12*P[5][6] - HK13*P[4][5] + HK13*P[5][22] + HK14*P[2][5] + HK15*P[0][5] + HK16*P[1][5] - HK17*P[3][5] - HK25 + HK9*P[5][5];
const ftype HK27 = HK19*HK9;
const ftype HK28 = HK12*P[6][23] + HK13*P[22][23] - HK13*P[4][23] + HK14*P[2][23] + HK15*P[0][23] + HK16*P[1][23] - HK17*P[3][23] + HK25 - HK9*P[23][23];
const ftype HK29 = HK12*P[2][6] + HK13*P[2][22] - HK13*P[2][4] + HK14*P[2][2] + HK15*P[0][2] + HK16*P[1][2] - HK17*P[2][3] - HK9*P[2][23] + HK9*P[2][5];
const ftype HK30 = HK12*P[1][6] + HK13*P[1][22] - HK13*P[1][4] + HK14*P[1][2] + HK15*P[0][1] + HK16*P[1][1] - HK17*P[1][3] - HK9*P[1][23] + HK9*P[1][5];
const ftype HK31 = HK12*P[3][6] + HK13*P[3][22] - HK13*P[3][4] + HK14*P[2][3] + HK15*P[0][3] + HK16*P[1][3] - HK17*P[3][3] - HK9*P[3][23] + HK9*P[3][5];
const ftype HK32 = Kaccy/(HK12*HK19*HK20 + HK14*HK19*HK29 + HK15*HK18*HK19 + HK16*HK19*HK30 - HK17*HK19*HK31 + HK22*HK23 - HK23*HK24 + HK26*HK27 - HK27*HK28 + R_ACC);
// Observation Jacobians

380
libraries/AP_NavEKF3/derivation/generated/covariance_generated.cpp
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@ -1,191 +1,191 @@
// Equations for covariance matrix prediction, without process noise!
const float PS0 = powf(q1, 2);
const float PS1 = 0.25F*daxVar;
const float PS2 = powf(q2, 2);
const float PS3 = 0.25F*dayVar;
const float PS4 = powf(q3, 2);
const float PS5 = 0.25F*dazVar;
const float PS6 = 0.5F*q1;
const float PS7 = 0.5F*q2;
const float PS8 = PS7*P[10][11];
const float PS9 = 0.5F*q3;
const float PS10 = PS9*P[10][12];
const float PS11 = 0.5F*dax - 0.5F*dax_b;
const float PS12 = 0.5F*day - 0.5F*day_b;
const float PS13 = 0.5F*daz - 0.5F*daz_b;
const float PS14 = PS10 - PS11*P[1][10] - PS12*P[2][10] - PS13*P[3][10] + PS6*P[10][10] + PS8 + P[0][10];
const float PS15 = PS6*P[10][11];
const float PS16 = PS9*P[11][12];
const float PS17 = -PS11*P[1][11] - PS12*P[2][11] - PS13*P[3][11] + PS15 + PS16 + PS7*P[11][11] + P[0][11];
const float PS18 = PS6*P[10][12];
const float PS19 = PS7*P[11][12];
const float PS20 = -PS11*P[1][12] - PS12*P[2][12] - PS13*P[3][12] + PS18 + PS19 + PS9*P[12][12] + P[0][12];
const float PS21 = PS12*P[1][2];
const float PS22 = -PS13*P[1][3];
const float PS23 = -PS11*P[1][1] - PS21 + PS22 + PS6*P[1][10] + PS7*P[1][11] + PS9*P[1][12] + P[0][1];
const float PS24 = -PS11*P[1][2];
const float PS25 = PS13*P[2][3];
const float PS26 = -PS12*P[2][2] + PS24 - PS25 + PS6*P[2][10] + PS7*P[2][11] + PS9*P[2][12] + P[0][2];
const float PS27 = PS11*P[1][3];
const float PS28 = -PS12*P[2][3];
const float PS29 = -PS13*P[3][3] - PS27 + PS28 + PS6*P[3][10] + PS7*P[3][11] + PS9*P[3][12] + P[0][3];
const float PS30 = PS11*P[0][1];
const float PS31 = PS12*P[0][2];
const float PS32 = PS13*P[0][3];
const float PS33 = -PS30 - PS31 - PS32 + PS6*P[0][10] + PS7*P[0][11] + PS9*P[0][12] + P[0][0];
const float PS34 = 0.5F*q0;
const float PS35 = q2*q3;
const float PS36 = q0*q1;
const float PS37 = q1*q3;
const float PS38 = q0*q2;
const float PS39 = q1*q2;
const float PS40 = q0*q3;
const float PS41 = -PS2;
const float PS42 = powf(q0, 2);
const float PS43 = -PS4 + PS42;
const float PS44 = PS0 + PS41 + PS43;
const float PS45 = -PS11*P[1][13] - PS12*P[2][13] - PS13*P[3][13] + PS6*P[10][13] + PS7*P[11][13] + PS9*P[12][13] + P[0][13];
const float PS46 = PS37 + PS38;
const float PS47 = -PS11*P[1][15] - PS12*P[2][15] - PS13*P[3][15] + PS6*P[10][15] + PS7*P[11][15] + PS9*P[12][15] + P[0][15];
const float PS48 = 2*PS47;
const float PS49 = dvy - dvy_b;
const float PS50 = dvx - dvx_b;
const float PS51 = dvz - dvz_b;
const float PS52 = PS49*q0 + PS50*q3 - PS51*q1;
const float PS53 = 2*PS29;
const float PS54 = -PS39 + PS40;
const float PS55 = -PS11*P[1][14] - PS12*P[2][14] - PS13*P[3][14] + PS6*P[10][14] + PS7*P[11][14] + PS9*P[12][14] + P[0][14];
const float PS56 = 2*PS55;
const float PS57 = -PS49*q3 + PS50*q0 + PS51*q2;
const float PS58 = 2*PS33;
const float PS59 = PS49*q1 - PS50*q2 + PS51*q0;
const float PS60 = 2*PS59;
const float PS61 = PS49*q2 + PS50*q1 + PS51*q3;
const float PS62 = 2*PS61;
const float PS63 = -PS11*P[1][4] - PS12*P[2][4] - PS13*P[3][4] + PS6*P[4][10] + PS7*P[4][11] + PS9*P[4][12] + P[0][4];
const float PS64 = -PS0;
const float PS65 = PS2 + PS43 + PS64;
const float PS66 = PS39 + PS40;
const float PS67 = 2*PS45;
const float PS68 = -PS35 + PS36;
const float PS69 = -PS11*P[1][5] - PS12*P[2][5] - PS13*P[3][5] + PS6*P[5][10] + PS7*P[5][11] + PS9*P[5][12] + P[0][5];
const float PS70 = PS4 + PS41 + PS42 + PS64;
const float PS71 = PS35 + PS36;
const float PS72 = 2*PS57;
const float PS73 = -PS37 + PS38;
const float PS74 = 2*PS52;
const float PS75 = -PS11*P[1][6] - PS12*P[2][6] - PS13*P[3][6] + PS6*P[6][10] + PS7*P[6][11] + PS9*P[6][12] + P[0][6];
const float PS76 = -PS34*P[10][11];
const float PS77 = PS11*P[0][11] - PS12*P[3][11] + PS13*P[2][11] - PS19 + PS76 + PS9*P[11][11] + P[1][11];
const float PS78 = PS13*P[0][2];
const float PS79 = PS12*P[0][3];
const float PS80 = PS11*P[0][0] - PS34*P[0][10] - PS7*P[0][12] + PS78 - PS79 + PS9*P[0][11] + P[0][1];
const float PS81 = PS11*P[0][2];
const float PS82 = PS13*P[2][2] + PS28 - PS34*P[2][10] - PS7*P[2][12] + PS81 + PS9*P[2][11] + P[1][2];
const float PS83 = PS9*P[10][11];
const float PS84 = PS7*P[10][12];
const float PS85 = PS11*P[0][10] - PS12*P[3][10] + PS13*P[2][10] - PS34*P[10][10] + PS83 - PS84 + P[1][10];
const float PS86 = -PS34*P[10][12];
const float PS87 = PS11*P[0][12] - PS12*P[3][12] + PS13*P[2][12] + PS16 - PS7*P[12][12] + PS86 + P[1][12];
const float PS88 = PS11*P[0][3];
const float PS89 = -PS12*P[3][3] + PS25 - PS34*P[3][10] - PS7*P[3][12] + PS88 + PS9*P[3][11] + P[1][3];
const float PS90 = PS13*P[1][2];
const float PS91 = PS12*P[1][3];
const float PS92 = PS30 - PS34*P[1][10] - PS7*P[1][12] + PS9*P[1][11] + PS90 - PS91 + P[1][1];
const float PS93 = PS11*P[0][13] - PS12*P[3][13] + PS13*P[2][13] - PS34*P[10][13] - PS7*P[12][13] + PS9*P[11][13] + P[1][13];
const float PS94 = PS11*P[0][15] - PS12*P[3][15] + PS13*P[2][15] - PS34*P[10][15] - PS7*P[12][15] + PS9*P[11][15] + P[1][15];
const float PS95 = 2*PS94;
const float PS96 = PS11*P[0][14] - PS12*P[3][14] + PS13*P[2][14] - PS34*P[10][14] - PS7*P[12][14] + PS9*P[11][14] + P[1][14];
const float PS97 = 2*PS96;
const float PS98 = PS11*P[0][4] - PS12*P[3][4] + PS13*P[2][4] - PS34*P[4][10] - PS7*P[4][12] + PS9*P[4][11] + P[1][4];
const float PS99 = 2*PS93;
const float PS100 = PS11*P[0][5] - PS12*P[3][5] + PS13*P[2][5] - PS34*P[5][10] - PS7*P[5][12] + PS9*P[5][11] + P[1][5];
const float PS101 = PS11*P[0][6] - PS12*P[3][6] + PS13*P[2][6] - PS34*P[6][10] - PS7*P[6][12] + PS9*P[6][11] + P[1][6];
const float PS102 = -PS34*P[11][12];
const float PS103 = -PS10 + PS102 + PS11*P[3][12] + PS12*P[0][12] - PS13*P[1][12] + PS6*P[12][12] + P[2][12];
const float PS104 = PS11*P[3][3] + PS22 - PS34*P[3][11] + PS6*P[3][12] + PS79 - PS9*P[3][10] + P[2][3];
const float PS105 = PS13*P[0][1];
const float PS106 = -PS105 + PS12*P[0][0] - PS34*P[0][11] + PS6*P[0][12] + PS88 - PS9*P[0][10] + P[0][2];
const float PS107 = PS6*P[11][12];
const float PS108 = PS107 + PS11*P[3][11] + PS12*P[0][11] - PS13*P[1][11] - PS34*P[11][11] - PS83 + P[2][11];
const float PS109 = PS11*P[3][10] + PS12*P[0][10] - PS13*P[1][10] + PS18 + PS76 - PS9*P[10][10] + P[2][10];
const float PS110 = PS12*P[0][1];
const float PS111 = PS110 - PS13*P[1][1] + PS27 - PS34*P[1][11] + PS6*P[1][12] - PS9*P[1][10] + P[1][2];
const float PS112 = PS11*P[2][3];
const float PS113 = PS112 + PS31 - PS34*P[2][11] + PS6*P[2][12] - PS9*P[2][10] - PS90 + P[2][2];
const float PS114 = PS11*P[3][13] + PS12*P[0][13] - PS13*P[1][13] - PS34*P[11][13] + PS6*P[12][13] - PS9*P[10][13] + P[2][13];
const float PS115 = PS11*P[3][15] + PS12*P[0][15] - PS13*P[1][15] - PS34*P[11][15] + PS6*P[12][15] - PS9*P[10][15] + P[2][15];
const float PS116 = 2*PS115;
const float PS117 = PS11*P[3][14] + PS12*P[0][14] - PS13*P[1][14] - PS34*P[11][14] + PS6*P[12][14] - PS9*P[10][14] + P[2][14];
const float PS118 = 2*PS117;
const float PS119 = PS11*P[3][4] + PS12*P[0][4] - PS13*P[1][4] - PS34*P[4][11] + PS6*P[4][12] - PS9*P[4][10] + P[2][4];
const float PS120 = 2*PS114;
const float PS121 = PS11*P[3][5] + PS12*P[0][5] - PS13*P[1][5] - PS34*P[5][11] + PS6*P[5][12] - PS9*P[5][10] + P[2][5];
const float PS122 = PS11*P[3][6] + PS12*P[0][6] - PS13*P[1][6] - PS34*P[6][11] + PS6*P[6][12] - PS9*P[6][10] + P[2][6];
const float PS123 = -PS11*P[2][10] + PS12*P[1][10] + PS13*P[0][10] - PS15 + PS7*P[10][10] + PS86 + P[3][10];
const float PS124 = PS105 + PS12*P[1][1] + PS24 - PS34*P[1][12] - PS6*P[1][11] + PS7*P[1][10] + P[1][3];
const float PS125 = PS110 + PS13*P[0][0] - PS34*P[0][12] - PS6*P[0][11] + PS7*P[0][10] - PS81 + P[0][3];
const float PS126 = -PS107 - PS11*P[2][12] + PS12*P[1][12] + PS13*P[0][12] - PS34*P[12][12] + PS84 + P[3][12];
const float PS127 = PS102 - PS11*P[2][11] + PS12*P[1][11] + PS13*P[0][11] - PS6*P[11][11] + PS8 + P[3][11];
const float PS128 = -PS11*P[2][2] + PS21 - PS34*P[2][12] - PS6*P[2][11] + PS7*P[2][10] + PS78 + P[2][3];
const float PS129 = -PS112 + PS32 - PS34*P[3][12] - PS6*P[3][11] + PS7*P[3][10] + PS91 + P[3][3];
const float PS130 = -PS11*P[2][13] + PS12*P[1][13] + PS13*P[0][13] - PS34*P[12][13] - PS6*P[11][13] + PS7*P[10][13] + P[3][13];
const float PS131 = -PS11*P[2][15] + PS12*P[1][15] + PS13*P[0][15] - PS34*P[12][15] - PS6*P[11][15] + PS7*P[10][15] + P[3][15];
const float PS132 = 2*PS131;
const float PS133 = -PS11*P[2][14] + PS12*P[1][14] + PS13*P[0][14] - PS34*P[12][14] - PS6*P[11][14] + PS7*P[10][14] + P[3][14];
const float PS134 = 2*PS133;
const float PS135 = -PS11*P[2][4] + PS12*P[1][4] + PS13*P[0][4] - PS34*P[4][12] - PS6*P[4][11] + PS7*P[4][10] + P[3][4];
const float PS136 = 2*PS130;
const float PS137 = -PS11*P[2][5] + PS12*P[1][5] + PS13*P[0][5] - PS34*P[5][12] - PS6*P[5][11] + PS7*P[5][10] + P[3][5];
const float PS138 = -PS11*P[2][6] + PS12*P[1][6] + PS13*P[0][6] - PS34*P[6][12] - PS6*P[6][11] + PS7*P[6][10] + P[3][6];
const float PS139 = 2*PS46;
const float PS140 = 2*PS54;
const float PS141 = -PS139*P[13][15] + PS140*P[13][14] - PS44*P[13][13] + PS60*P[2][13] + PS62*P[1][13] + PS72*P[0][13] - PS74*P[3][13] + P[4][13];
const float PS142 = -PS139*P[15][15] + PS140*P[14][15] - PS44*P[13][15] + PS60*P[2][15] + PS62*P[1][15] + PS72*P[0][15] - PS74*P[3][15] + P[4][15];
const float PS143 = PS62*P[1][3];
const float PS144 = PS72*P[0][3];
const float PS145 = -PS139*P[3][15] + PS140*P[3][14] + PS143 + PS144 - PS44*P[3][13] + PS60*P[2][3] - PS74*P[3][3] + P[3][4];
const float PS146 = -PS139*P[14][15] + PS140*P[14][14] - PS44*P[13][14] + PS60*P[2][14] + PS62*P[1][14] + PS72*P[0][14] - PS74*P[3][14] + P[4][14];
const float PS147 = PS60*P[0][2];
const float PS148 = PS74*P[0][3];
const float PS149 = -PS139*P[0][15] + PS140*P[0][14] + PS147 - PS148 - PS44*P[0][13] + PS62*P[0][1] + PS72*P[0][0] + P[0][4];
const float PS150 = PS62*P[1][2];
const float PS151 = PS72*P[0][2];
const float PS152 = -PS139*P[2][15] + PS140*P[2][14] + PS150 + PS151 - PS44*P[2][13] + PS60*P[2][2] - PS74*P[2][3] + P[2][4];
const float PS153 = PS60*P[1][2];
const float PS154 = PS74*P[1][3];
const float PS155 = -PS139*P[1][15] + PS140*P[1][14] + PS153 - PS154 - PS44*P[1][13] + PS62*P[1][1] + PS72*P[0][1] + P[1][4];
const float PS156 = 4*dvyVar;
const float PS157 = 4*dvzVar;
const float PS158 = -PS139*P[4][15] + PS140*P[4][14] - PS44*P[4][13] + PS60*P[2][4] + PS62*P[1][4] + PS72*P[0][4] - PS74*P[3][4] + P[4][4];
const float PS159 = 2*PS141;
const float PS160 = 2*PS68;
const float PS161 = PS65*dvyVar;
const float PS162 = 2*PS66;
const float PS163 = PS44*dvxVar;
const float PS164 = -PS139*P[5][15] + PS140*P[5][14] - PS44*P[5][13] + PS60*P[2][5] + PS62*P[1][5] + PS72*P[0][5] - PS74*P[3][5] + P[4][5];
const float PS165 = 2*PS71;
const float PS166 = 2*PS73;
const float PS167 = PS70*dvzVar;
const float PS168 = -PS139*P[6][15] + PS140*P[6][14] - PS44*P[6][13] + PS60*P[2][6] + PS62*P[1][6] + PS72*P[0][6] - PS74*P[3][6] + P[4][6];
const float PS169 = PS160*P[14][15] - PS162*P[13][14] - PS60*P[1][14] + PS62*P[2][14] - PS65*P[14][14] + PS72*P[3][14] + PS74*P[0][14] + P[5][14];
const float PS170 = PS160*P[13][15] - PS162*P[13][13] - PS60*P[1][13] + PS62*P[2][13] - PS65*P[13][14] + PS72*P[3][13] + PS74*P[0][13] + P[5][13];
const float PS171 = PS74*P[0][1];
const float PS172 = PS150 + PS160*P[1][15] - PS162*P[1][13] + PS171 - PS60*P[1][1] - PS65*P[1][14] + PS72*P[1][3] + P[1][5];
const float PS173 = PS160*P[15][15] - PS162*P[13][15] - PS60*P[1][15] + PS62*P[2][15] - PS65*P[14][15] + PS72*P[3][15] + PS74*P[0][15] + P[5][15];
const float PS174 = PS62*P[2][3];
const float PS175 = PS148 + PS160*P[3][15] - PS162*P[3][13] + PS174 - PS60*P[1][3] - PS65*P[3][14] + PS72*P[3][3] + P[3][5];
const float PS176 = PS60*P[0][1];
const float PS177 = PS144 + PS160*P[0][15] - PS162*P[0][13] - PS176 + PS62*P[0][2] - PS65*P[0][14] + PS74*P[0][0] + P[0][5];
const float PS178 = PS72*P[2][3];
const float PS179 = -PS153 + PS160*P[2][15] - PS162*P[2][13] + PS178 + PS62*P[2][2] - PS65*P[2][14] + PS74*P[0][2] + P[2][5];
const float PS180 = 4*dvxVar;
const float PS181 = PS160*P[5][15] - PS162*P[5][13] - PS60*P[1][5] + PS62*P[2][5] - PS65*P[5][14] + PS72*P[3][5] + PS74*P[0][5] + P[5][5];
const float PS182 = PS160*P[6][15] - PS162*P[6][13] - PS60*P[1][6] + PS62*P[2][6] - PS65*P[6][14] + PS72*P[3][6] + PS74*P[0][6] + P[5][6];
const float PS183 = -PS165*P[14][15] + PS166*P[13][15] + PS60*P[0][15] + PS62*P[3][15] - PS70*P[15][15] - PS72*P[2][15] + PS74*P[1][15] + P[6][15];
const float PS184 = -PS165*P[14][14] + PS166*P[13][14] + PS60*P[0][14] + PS62*P[3][14] - PS70*P[14][15] - PS72*P[2][14] + PS74*P[1][14] + P[6][14];
const float PS185 = -PS165*P[13][14] + PS166*P[13][13] + PS60*P[0][13] + PS62*P[3][13] - PS70*P[13][15] - PS72*P[2][13] + PS74*P[1][13] + P[6][13];
const float PS186 = -PS165*P[6][14] + PS166*P[6][13] + PS60*P[0][6] + PS62*P[3][6] - PS70*P[6][15] - PS72*P[2][6] + PS74*P[1][6] + P[6][6];
const ftype PS0 = sq(q1);
const ftype PS1 = 0.25F*daxVar;
const ftype PS2 = sq(q2);
const ftype PS3 = 0.25F*dayVar;
const ftype PS4 = sq(q3);
const ftype PS5 = 0.25F*dazVar;
const ftype PS6 = 0.5F*q1;
const ftype PS7 = 0.5F*q2;
const ftype PS8 = PS7*P[10][11];
const ftype PS9 = 0.5F*q3;
const ftype PS10 = PS9*P[10][12];
const ftype PS11 = 0.5F*dax - 0.5F*dax_b;
const ftype PS12 = 0.5F*day - 0.5F*day_b;
const ftype PS13 = 0.5F*daz - 0.5F*daz_b;
const ftype PS14 = PS10 - PS11*P[1][10] - PS12*P[2][10] - PS13*P[3][10] + PS6*P[10][10] + PS8 + P[0][10];
const ftype PS15 = PS6*P[10][11];
const ftype PS16 = PS9*P[11][12];
const ftype PS17 = -PS11*P[1][11] - PS12*P[2][11] - PS13*P[3][11] + PS15 + PS16 + PS7*P[11][11] + P[0][11];
const ftype PS18 = PS6*P[10][12];
const ftype PS19 = PS7*P[11][12];
const ftype PS20 = -PS11*P[1][12] - PS12*P[2][12] - PS13*P[3][12] + PS18 + PS19 + PS9*P[12][12] + P[0][12];
const ftype PS21 = PS12*P[1][2];
const ftype PS22 = -PS13*P[1][3];
const ftype PS23 = -PS11*P[1][1] - PS21 + PS22 + PS6*P[1][10] + PS7*P[1][11] + PS9*P[1][12] + P[0][1];
const ftype PS24 = -PS11*P[1][2];
const ftype PS25 = PS13*P[2][3];
const ftype PS26 = -PS12*P[2][2] + PS24 - PS25 + PS6*P[2][10] + PS7*P[2][11] + PS9*P[2][12] + P[0][2];
const ftype PS27 = PS11*P[1][3];
const ftype PS28 = -PS12*P[2][3];
const ftype PS29 = -PS13*P[3][3] - PS27 + PS28 + PS6*P[3][10] + PS7*P[3][11] + PS9*P[3][12] + P[0][3];
const ftype PS30 = PS11*P[0][1];
const ftype PS31 = PS12*P[0][2];
const ftype PS32 = PS13*P[0][3];
const ftype PS33 = -PS30 - PS31 - PS32 + PS6*P[0][10] + PS7*P[0][11] + PS9*P[0][12] + P[0][0];
const ftype PS34 = 0.5F*q0;
const ftype PS35 = q2*q3;
const ftype PS36 = q0*q1;
const ftype PS37 = q1*q3;
const ftype PS38 = q0*q2;
const ftype PS39 = q1*q2;
const ftype PS40 = q0*q3;
const ftype PS41 = -PS2;
const ftype PS42 = sq(q0);
const ftype PS43 = -PS4 + PS42;
const ftype PS44 = PS0 + PS41 + PS43;
const ftype PS45 = -PS11*P[1][13] - PS12*P[2][13] - PS13*P[3][13] + PS6*P[10][13] + PS7*P[11][13] + PS9*P[12][13] + P[0][13];
const ftype PS46 = PS37 + PS38;
const ftype PS47 = -PS11*P[1][15] - PS12*P[2][15] - PS13*P[3][15] + PS6*P[10][15] + PS7*P[11][15] + PS9*P[12][15] + P[0][15];
const ftype PS48 = 2*PS47;
const ftype PS49 = dvy - dvy_b;
const ftype PS50 = dvx - dvx_b;
const ftype PS51 = dvz - dvz_b;
const ftype PS52 = PS49*q0 + PS50*q3 - PS51*q1;
const ftype PS53 = 2*PS29;
const ftype PS54 = -PS39 + PS40;
const ftype PS55 = -PS11*P[1][14] - PS12*P[2][14] - PS13*P[3][14] + PS6*P[10][14] + PS7*P[11][14] + PS9*P[12][14] + P[0][14];
const ftype PS56 = 2*PS55;
const ftype PS57 = -PS49*q3 + PS50*q0 + PS51*q2;
const ftype PS58 = 2*PS33;
const ftype PS59 = PS49*q1 - PS50*q2 + PS51*q0;
const ftype PS60 = 2*PS59;
const ftype PS61 = PS49*q2 + PS50*q1 + PS51*q3;
const ftype PS62 = 2*PS61;
const ftype PS63 = -PS11*P[1][4] - PS12*P[2][4] - PS13*P[3][4] + PS6*P[4][10] + PS7*P[4][11] + PS9*P[4][12] + P[0][4];
const ftype PS64 = -PS0;
const ftype PS65 = PS2 + PS43 + PS64;
const ftype PS66 = PS39 + PS40;
const ftype PS67 = 2*PS45;
const ftype PS68 = -PS35 + PS36;
const ftype PS69 = -PS11*P[1][5] - PS12*P[2][5] - PS13*P[3][5] + PS6*P[5][10] + PS7*P[5][11] + PS9*P[5][12] + P[0][5];
const ftype PS70 = PS4 + PS41 + PS42 + PS64;
const ftype PS71 = PS35 + PS36;
const ftype PS72 = 2*PS57;
const ftype PS73 = -PS37 + PS38;
const ftype PS74 = 2*PS52;
const ftype PS75 = -PS11*P[1][6] - PS12*P[2][6] - PS13*P[3][6] + PS6*P[6][10] + PS7*P[6][11] + PS9*P[6][12] + P[0][6];
const ftype PS76 = -PS34*P[10][11];
const ftype PS77 = PS11*P[0][11] - PS12*P[3][11] + PS13*P[2][11] - PS19 + PS76 + PS9*P[11][11] + P[1][11];
const ftype PS78 = PS13*P[0][2];
const ftype PS79 = PS12*P[0][3];
const ftype PS80 = PS11*P[0][0] - PS34*P[0][10] - PS7*P[0][12] + PS78 - PS79 + PS9*P[0][11] + P[0][1];
const ftype PS81 = PS11*P[0][2];
const ftype PS82 = PS13*P[2][2] + PS28 - PS34*P[2][10] - PS7*P[2][12] + PS81 + PS9*P[2][11] + P[1][2];
const ftype PS83 = PS9*P[10][11];
const ftype PS84 = PS7*P[10][12];
const ftype PS85 = PS11*P[0][10] - PS12*P[3][10] + PS13*P[2][10] - PS34*P[10][10] + PS83 - PS84 + P[1][10];
const ftype PS86 = -PS34*P[10][12];
const ftype PS87 = PS11*P[0][12] - PS12*P[3][12] + PS13*P[2][12] + PS16 - PS7*P[12][12] + PS86 + P[1][12];
const ftype PS88 = PS11*P[0][3];
const ftype PS89 = -PS12*P[3][3] + PS25 - PS34*P[3][10] - PS7*P[3][12] + PS88 + PS9*P[3][11] + P[1][3];
const ftype PS90 = PS13*P[1][2];
const ftype PS91 = PS12*P[1][3];
const ftype PS92 = PS30 - PS34*P[1][10] - PS7*P[1][12] + PS9*P[1][11] + PS90 - PS91 + P[1][1];
const ftype PS93 = PS11*P[0][13] - PS12*P[3][13] + PS13*P[2][13] - PS34*P[10][13] - PS7*P[12][13] + PS9*P[11][13] + P[1][13];
const ftype PS94 = PS11*P[0][15] - PS12*P[3][15] + PS13*P[2][15] - PS34*P[10][15] - PS7*P[12][15] + PS9*P[11][15] + P[1][15];
const ftype PS95 = 2*PS94;
const ftype PS96 = PS11*P[0][14] - PS12*P[3][14] + PS13*P[2][14] - PS34*P[10][14] - PS7*P[12][14] + PS9*P[11][14] + P[1][14];
const ftype PS97 = 2*PS96;
const ftype PS98 = PS11*P[0][4] - PS12*P[3][4] + PS13*P[2][4] - PS34*P[4][10] - PS7*P[4][12] + PS9*P[4][11] + P[1][4];
const ftype PS99 = 2*PS93;
const ftype PS100 = PS11*P[0][5] - PS12*P[3][5] + PS13*P[2][5] - PS34*P[5][10] - PS7*P[5][12] + PS9*P[5][11] + P[1][5];
const ftype PS101 = PS11*P[0][6] - PS12*P[3][6] + PS13*P[2][6] - PS34*P[6][10] - PS7*P[6][12] + PS9*P[6][11] + P[1][6];
const ftype PS102 = -PS34*P[11][12];
const ftype PS103 = -PS10 + PS102 + PS11*P[3][12] + PS12*P[0][12] - PS13*P[1][12] + PS6*P[12][12] + P[2][12];
const ftype PS104 = PS11*P[3][3] + PS22 - PS34*P[3][11] + PS6*P[3][12] + PS79 - PS9*P[3][10] + P[2][3];
const ftype PS105 = PS13*P[0][1];
const ftype PS106 = -PS105 + PS12*P[0][0] - PS34*P[0][11] + PS6*P[0][12] + PS88 - PS9*P[0][10] + P[0][2];
const ftype PS107 = PS6*P[11][12];
const ftype PS108 = PS107 + PS11*P[3][11] + PS12*P[0][11] - PS13*P[1][11] - PS34*P[11][11] - PS83 + P[2][11];
const ftype PS109 = PS11*P[3][10] + PS12*P[0][10] - PS13*P[1][10] + PS18 + PS76 - PS9*P[10][10] + P[2][10];
const ftype PS110 = PS12*P[0][1];
const ftype PS111 = PS110 - PS13*P[1][1] + PS27 - PS34*P[1][11] + PS6*P[1][12] - PS9*P[1][10] + P[1][2];
const ftype PS112 = PS11*P[2][3];
const ftype PS113 = PS112 + PS31 - PS34*P[2][11] + PS6*P[2][12] - PS9*P[2][10] - PS90 + P[2][2];
const ftype PS114 = PS11*P[3][13] + PS12*P[0][13] - PS13*P[1][13] - PS34*P[11][13] + PS6*P[12][13] - PS9*P[10][13] + P[2][13];
const ftype PS115 = PS11*P[3][15] + PS12*P[0][15] - PS13*P[1][15] - PS34*P[11][15] + PS6*P[12][15] - PS9*P[10][15] + P[2][15];
const ftype PS116 = 2*PS115;
const ftype PS117 = PS11*P[3][14] + PS12*P[0][14] - PS13*P[1][14] - PS34*P[11][14] + PS6*P[12][14] - PS9*P[10][14] + P[2][14];
const ftype PS118 = 2*PS117;
const ftype PS119 = PS11*P[3][4] + PS12*P[0][4] - PS13*P[1][4] - PS34*P[4][11] + PS6*P[4][12] - PS9*P[4][10] + P[2][4];
const ftype PS120 = 2*PS114;
const ftype PS121 = PS11*P[3][5] + PS12*P[0][5] - PS13*P[1][5] - PS34*P[5][11] + PS6*P[5][12] - PS9*P[5][10] + P[2][5];
const ftype PS122 = PS11*P[3][6] + PS12*P[0][6] - PS13*P[1][6] - PS34*P[6][11] + PS6*P[6][12] - PS9*P[6][10] + P[2][6];
const ftype PS123 = -PS11*P[2][10] + PS12*P[1][10] + PS13*P[0][10] - PS15 + PS7*P[10][10] + PS86 + P[3][10];
const ftype PS124 = PS105 + PS12*P[1][1] + PS24 - PS34*P[1][12] - PS6*P[1][11] + PS7*P[1][10] + P[1][3];
const ftype PS125 = PS110 + PS13*P[0][0] - PS34*P[0][12] - PS6*P[0][11] + PS7*P[0][10] - PS81 + P[0][3];
const ftype PS126 = -PS107 - PS11*P[2][12] + PS12*P[1][12] + PS13*P[0][12] - PS34*P[12][12] + PS84 + P[3][12];
const ftype PS127 = PS102 - PS11*P[2][11] + PS12*P[1][11] + PS13*P[0][11] - PS6*P[11][11] + PS8 + P[3][11];
const ftype PS128 = -PS11*P[2][2] + PS21 - PS34*P[2][12] - PS6*P[2][11] + PS7*P[2][10] + PS78 + P[2][3];
const ftype PS129 = -PS112 + PS32 - PS34*P[3][12] - PS6*P[3][11] + PS7*P[3][10] + PS91 + P[3][3];
const ftype PS130 = -PS11*P[2][13] + PS12*P[1][13] + PS13*P[0][13] - PS34*P[12][13] - PS6*P[11][13] + PS7*P[10][13] + P[3][13];
const ftype PS131 = -PS11*P[2][15] + PS12*P[1][15] + PS13*P[0][15] - PS34*P[12][15] - PS6*P[11][15] + PS7*P[10][15] + P[3][15];
const ftype PS132 = 2*PS131;
const ftype PS133 = -PS11*P[2][14] + PS12*P[1][14] + PS13*P[0][14] - PS34*P[12][14] - PS6*P[11][14] + PS7*P[10][14] + P[3][14];
const ftype PS134 = 2*PS133;
const ftype PS135 = -PS11*P[2][4] + PS12*P[1][4] + PS13*P[0][4] - PS34*P[4][12] - PS6*P[4][11] + PS7*P[4][10] + P[3][4];
const ftype PS136 = 2*PS130;
const ftype PS137 = -PS11*P[2][5] + PS12*P[1][5] + PS13*P[0][5] - PS34*P[5][12] - PS6*P[5][11] + PS7*P[5][10] + P[3][5];
const ftype PS138 = -PS11*P[2][6] + PS12*P[1][6] + PS13*P[0][6] - PS34*P[6][12] - PS6*P[6][11] + PS7*P[6][10] + P[3][6];
const ftype PS139 = 2*PS46;
const ftype PS140 = 2*PS54;
const ftype PS141 = -PS139*P[13][15] + PS140*P[13][14] - PS44*P[13][13] + PS60*P[2][13] + PS62*P[1][13] + PS72*P[0][13] - PS74*P[3][13] + P[4][13];
const ftype PS142 = -PS139*P[15][15] + PS140*P[14][15] - PS44*P[13][15] + PS60*P[2][15] + PS62*P[1][15] + PS72*P[0][15] - PS74*P[3][15] + P[4][15];
const ftype PS143 = PS62*P[1][3];
const ftype PS144 = PS72*P[0][3];
const ftype PS145 = -PS139*P[3][15] + PS140*P[3][14] + PS143 + PS144 - PS44*P[3][13] + PS60*P[2][3] - PS74*P[3][3] + P[3][4];
const ftype PS146 = -PS139*P[14][15] + PS140*P[14][14] - PS44*P[13][14] + PS60*P[2][14] + PS62*P[1][14] + PS72*P[0][14] - PS74*P[3][14] + P[4][14];
const ftype PS147 = PS60*P[0][2];
const ftype PS148 = PS74*P[0][3];
const ftype PS149 = -PS139*P[0][15] + PS140*P[0][14] + PS147 - PS148 - PS44*P[0][13] + PS62*P[0][1] + PS72*P[0][0] + P[0][4];
const ftype PS150 = PS62*P[1][2];
const ftype PS151 = PS72*P[0][2];
const ftype PS152 = -PS139*P[2][15] + PS140*P[2][14] + PS150 + PS151 - PS44*P[2][13] + PS60*P[2][2] - PS74*P[2][3] + P[2][4];
const ftype PS153 = PS60*P[1][2];
const ftype PS154 = PS74*P[1][3];
const ftype PS155 = -PS139*P[1][15] + PS140*P[1][14] + PS153 - PS154 - PS44*P[1][13] + PS62*P[1][1] + PS72*P[0][1] + P[1][4];
const ftype PS156 = 4*dvyVar;
const ftype PS157 = 4*dvzVar;
const ftype PS158 = -PS139*P[4][15] + PS140*P[4][14] - PS44*P[4][13] + PS60*P[2][4] + PS62*P[1][4] + PS72*P[0][4] - PS74*P[3][4] + P[4][4];
const ftype PS159 = 2*PS141;
const ftype PS160 = 2*PS68;
const ftype PS161 = PS65*dvyVar;
const ftype PS162 = 2*PS66;
const ftype PS163 = PS44*dvxVar;
const ftype PS164 = -PS139*P[5][15] + PS140*P[5][14] - PS44*P[5][13] + PS60*P[2][5] + PS62*P[1][5] + PS72*P[0][5] - PS74*P[3][5] + P[4][5];
const ftype PS165 = 2*PS71;
const ftype PS166 = 2*PS73;
const ftype PS167 = PS70*dvzVar;
const ftype PS168 = -PS139*P[6][15] + PS140*P[6][14] - PS44*P[6][13] + PS60*P[2][6] + PS62*P[1][6] + PS72*P[0][6] - PS74*P[3][6] + P[4][6];
const ftype PS169 = PS160*P[14][15] - PS162*P[13][14] - PS60*P[1][14] + PS62*P[2][14] - PS65*P[14][14] + PS72*P[3][14] + PS74*P[0][14] + P[5][14];
const ftype PS170 = PS160*P[13][15] - PS162*P[13][13] - PS60*P[1][13] + PS62*P[2][13] - PS65*P[13][14] + PS72*P[3][13] + PS74*P[0][13] + P[5][13];
const ftype PS171 = PS74*P[0][1];
const ftype PS172 = PS150 + PS160*P[1][15] - PS162*P[1][13] + PS171 - PS60*P[1][1] - PS65*P[1][14] + PS72*P[1][3] + P[1][5];
const ftype PS173 = PS160*P[15][15] - PS162*P[13][15] - PS60*P[1][15] + PS62*P[2][15] - PS65*P[14][15] + PS72*P[3][15] + PS74*P[0][15] + P[5][15];
const ftype PS174 = PS62*P[2][3];
const ftype PS175 = PS148 + PS160*P[3][15] - PS162*P[3][13] + PS174 - PS60*P[1][3] - PS65*P[3][14] + PS72*P[3][3] + P[3][5];
const ftype PS176 = PS60*P[0][1];
const ftype PS177 = PS144 + PS160*P[0][15] - PS162*P[0][13] - PS176 + PS62*P[0][2] - PS65*P[0][14] + PS74*P[0][0] + P[0][5];
const ftype PS178 = PS72*P[2][3];
const ftype PS179 = -PS153 + PS160*P[2][15] - PS162*P[2][13] + PS178 + PS62*P[2][2] - PS65*P[2][14] + PS74*P[0][2] + P[2][5];
const ftype PS180 = 4*dvxVar;
const ftype PS181 = PS160*P[5][15] - PS162*P[5][13] - PS60*P[1][5] + PS62*P[2][5] - PS65*P[5][14] + PS72*P[3][5] + PS74*P[0][5] + P[5][5];
const ftype PS182 = PS160*P[6][15] - PS162*P[6][13] - PS60*P[1][6] + PS62*P[2][6] - PS65*P[6][14] + PS72*P[3][6] + PS74*P[0][6] + P[5][6];
const ftype PS183 = -PS165*P[14][15] + PS166*P[13][15] + PS60*P[0][15] + PS62*P[3][15] - PS70*P[15][15] - PS72*P[2][15] + PS74*P[1][15] + P[6][15];
const ftype PS184 = -PS165*P[14][14] + PS166*P[13][14] + PS60*P[0][14] + PS62*P[3][14] - PS70*P[14][15] - PS72*P[2][14] + PS74*P[1][14] + P[6][14];
const ftype PS185 = -PS165*P[13][14] + PS166*P[13][13] + PS60*P[0][13] + PS62*P[3][13] - PS70*P[13][15] - PS72*P[2][13] + PS74*P[1][13] + P[6][13];
const ftype PS186 = -PS165*P[6][14] + PS166*P[6][13] + PS60*P[0][6] + PS62*P[3][6] - PS70*P[6][15] - PS72*P[2][6] + PS74*P[1][6] + P[6][6];
nextP[0][0] = PS0*PS1 - PS11*PS23 - PS12*PS26 - PS13*PS29 + PS14*PS6 + PS17*PS7 + PS2*PS3 + PS20*PS9 + PS33 + PS4*PS5;
@ -202,20 +202,20 @@ nextP[0][4] = PS23*PS62 + PS26*PS60 - PS44*PS45 - PS46*PS48 - PS52*PS53 + PS54*P
nextP[1][4] = -PS44*PS93 - PS46*PS95 + PS54*PS97 + PS60*PS82 + PS62*PS92 + PS72*PS80 - PS74*PS89 + PS98;
nextP[2][4] = -PS104*PS74 + PS106*PS72 + PS111*PS62 + PS113*PS60 - PS114*PS44 - PS116*PS46 + PS118*PS54 + PS119;
nextP[3][4] = PS124*PS62 + PS125*PS72 + PS128*PS60 - PS129*PS74 - PS130*PS44 - PS132*PS46 + PS134*PS54 + PS135;
nextP[4][4] = -PS139*PS142 + PS140*PS146 - PS141*PS44 - PS145*PS74 + PS149*PS72 + PS152*PS60 + PS155*PS62 + PS156*powf(PS54, 2) + PS157*powf(PS46, 2) + PS158 + powf(PS44, 2)*dvxVar;
nextP[4][4] = -PS139*PS142 + PS140*PS146 - PS141*PS44 - PS145*PS74 + PS149*PS72 + PS152*PS60 + PS155*PS62 + PS156*sq(PS54) + PS157*sq(PS46) + PS158 + sq(PS44)*dvxVar;
nextP[0][5] = -PS23*PS60 + PS26*PS62 + PS48*PS68 + PS52*PS58 + PS53*PS57 - PS55*PS65 - PS66*PS67 + PS69;
nextP[1][5] = PS100 - PS60*PS92 + PS62*PS82 - PS65*PS96 - PS66*PS99 + PS68*PS95 + PS72*PS89 + PS74*PS80;
nextP[2][5] = PS104*PS72 + PS106*PS74 - PS111*PS60 + PS113*PS62 + PS116*PS68 - PS117*PS65 - PS120*PS66 + PS121;
nextP[3][5] = -PS124*PS60 + PS125*PS74 + PS128*PS62 + PS129*PS72 + PS132*PS68 - PS133*PS65 - PS136*PS66 + PS137;
nextP[4][5] = -PS140*PS161 + PS142*PS160 + PS145*PS72 - PS146*PS65 + PS149*PS74 + PS152*PS62 - PS155*PS60 - PS157*PS46*PS68 - PS159*PS66 + PS162*PS163 + PS164;
nextP[5][5] = PS157*powf(PS68, 2) + PS160*PS173 - PS162*PS170 - PS169*PS65 - PS172*PS60 + PS175*PS72 + PS177*PS74 + PS179*PS62 + PS180*powf(PS66, 2) + PS181 + powf(PS65, 2)*dvyVar;
nextP[5][5] = PS157*sq(PS68) + PS160*PS173 - PS162*PS170 - PS169*PS65 - PS172*PS60 + PS175*PS72 + PS177*PS74 + PS179*PS62 + PS180*sq(PS66) + PS181 + sq(PS65)*dvyVar;
nextP[0][6] = PS23*PS74 - PS26*PS72 - PS47*PS70 + PS53*PS61 - PS56*PS71 + PS58*PS59 + PS67*PS73 + PS75;
nextP[1][6] = PS101 + PS60*PS80 + PS62*PS89 - PS70*PS94 - PS71*PS97 - PS72*PS82 + PS73*PS99 + PS74*PS92;
nextP[2][6] = PS104*PS62 + PS106*PS60 + PS111*PS74 - PS113*PS72 - PS115*PS70 - PS118*PS71 + PS120*PS73 + PS122;
nextP[3][6] = PS124*PS74 + PS125*PS60 - PS128*PS72 + PS129*PS62 - PS131*PS70 - PS134*PS71 + PS136*PS73 + PS138;
nextP[4][6] = PS139*PS167 - PS142*PS70 + PS145*PS62 - PS146*PS165 + PS149*PS60 - PS152*PS72 + PS155*PS74 - PS156*PS54*PS71 + PS159*PS73 - PS163*PS166 + PS168;
nextP[5][6] = -PS160*PS167 + PS161*PS165 - PS165*PS169 + PS166*PS170 + PS172*PS74 - PS173*PS70 + PS175*PS62 + PS177*PS60 - PS179*PS72 - PS180*PS66*PS73 + PS182;
nextP[6][6] = PS156*powf(PS71, 2) - PS165*PS184 + PS166*PS185 + PS180*powf(PS73, 2) - PS183*PS70 + PS186 + PS60*(-PS151 - PS165*P[0][14] + PS166*P[0][13] + PS171 + PS60*P[0][0] + PS62*P[0][3] - PS70*P[0][15] + P[0][6]) + PS62*(PS154 - PS165*P[3][14] + PS166*P[3][13] - PS178 + PS60*P[0][3] + PS62*P[3][3] - PS70*P[3][15] + P[3][6]) + powf(PS70, 2)*dvzVar - PS72*(PS147 - PS165*P[2][14] + PS166*P[2][13] + PS174 - PS70*P[2][15] - PS72*P[2][2] + PS74*P[1][2] + P[2][6]) + PS74*(PS143 - PS165*P[1][14] + PS166*P[1][13] + PS176 - PS70*P[1][15] - PS72*P[1][2] + PS74*P[1][1] + P[1][6]);
nextP[6][6] = PS156*sq(PS71) - PS165*PS184 + PS166*PS185 + PS180*sq(PS73) - PS183*PS70 + PS186 + PS60*(-PS151 - PS165*P[0][14] + PS166*P[0][13] + PS171 + PS60*P[0][0] + PS62*P[0][3] - PS70*P[0][15] + P[0][6]) + PS62*(PS154 - PS165*P[3][14] + PS166*P[3][13] - PS178 + PS60*P[0][3] + PS62*P[3][3] - PS70*P[3][15] + P[3][6]) + sq(PS70)*dvzVar - PS72*(PS147 - PS165*P[2][14] + PS166*P[2][13] + PS174 - PS70*P[2][15] - PS72*P[2][2] + PS74*P[1][2] + P[2][6]) + PS74*(PS143 - PS165*P[1][14] + PS166*P[1][13] + PS176 - PS70*P[1][15] - PS72*P[1][2] + PS74*P[1][1] + P[1][6]);
nextP[0][7] = -PS11*P[1][7] - PS12*P[2][7] - PS13*P[3][7] + PS6*P[7][10] + PS63*dt + PS7*P[7][11] + PS9*P[7][12] + P[0][7];
nextP[1][7] = PS11*P[0][7] - PS12*P[3][7] + PS13*P[2][7] - PS34*P[7][10] - PS7*P[7][12] + PS9*P[7][11] + PS98*dt + P[1][7];
nextP[2][7] = PS11*P[3][7] + PS119*dt + PS12*P[0][7] - PS13*P[1][7] - PS34*P[7][11] + PS6*P[7][12] - PS9*P[7][10] + P[2][7];

80
libraries/AP_NavEKF3/derivation/generated/yaw_generated.cpp
View File

@ -1,14 +1,14 @@
// calculate 321 yaw observation matrix - option A
const float SA0 = 2*q3;
const float SA1 = 2*q2;
const float SA2 = SA0*q0 + SA1*q1;
const float SA3 = powf(q0, 2) + powf(q1, 2) - powf(q2, 2) - powf(q3, 2);
const float SA4 = powf(SA3, -2);
const float SA5 = 1.0F/(powf(SA2, 2)*SA4 + 1);
const float SA6 = 1.0F/SA3;
const float SA7 = SA2*SA4;
const float SA8 = 2*SA7;
const float SA9 = 2*SA6;
const ftype SA0 = 2*q3;
const ftype SA1 = 2*q2;
const ftype SA2 = SA0*q0 + SA1*q1;
const ftype SA3 = sq(q0) + sq(q1) - sq(q2) - sq(q3);
const ftype SA4 = 1.0/sq(SA3);
const ftype SA5 = 1.0F/(sq(SA2)*SA4 + 1);
const ftype SA6 = 1.0F/SA3;
const ftype SA7 = SA2*SA4;
const ftype SA8 = 2*SA7;
const ftype SA9 = 2*SA6;
H_YAW[0] = SA5*(SA0*SA6 - SA8*q0);
@ -38,16 +38,16 @@ H_YAW[23] = 0;
// calculate 321 yaw observation matrix - option B
const float SB0 = 2*q0;
const float SB1 = 2*q1;
const float SB2 = SB0*q3 + SB1*q2;
const float SB3 = powf(SB2, -2);
const float SB4 = powf(q0, 2) + powf(q1, 2) - powf(q2, 2) - powf(q3, 2);
const float SB5 = 1.0F/(SB3*powf(SB4, 2) + 1);
const float SB6 = 1.0F/SB2;
const float SB7 = SB3*SB4;
const float SB8 = 2*SB7;
const float SB9 = 2*SB6;
const ftype SB0 = 2*q0;
const ftype SB1 = 2*q1;
const ftype SB2 = SB0*q3 + SB1*q2;
const ftype SB3 = 1.0/sq(SB2);
const ftype SB4 = sq(q0) + sq(q1) - sq(q2) - sq(q3);
const ftype SB5 = 1.0F/(SB3*sq(SB4) + 1);
const ftype SB6 = 1.0F/SB2;
const ftype SB7 = SB3*SB4;
const ftype SB8 = 2*SB7;
const ftype SB9 = 2*SB6;
H_YAW[0] = -SB5*(SB0*SB6 - SB8*q3);
@ -77,16 +77,16 @@ H_YAW[23] = 0;
// calculate 312 yaw observation matrix - option A
const float SA0 = 2*q3;
const float SA1 = 2*q2;
const float SA2 = SA0*q0 - SA1*q1;
const float SA3 = powf(q0, 2) - powf(q1, 2) + powf(q2, 2) - powf(q3, 2);
const float SA4 = powf(SA3, -2);
const float SA5 = 1.0F/(powf(SA2, 2)*SA4 + 1);
const float SA6 = 1.0F/SA3;
const float SA7 = SA2*SA4;
const float SA8 = 2*SA7;
const float SA9 = 2*SA6;
const ftype SA0 = 2*q3;
const ftype SA1 = 2*q2;
const ftype SA2 = SA0*q0 - SA1*q1;
const ftype SA3 = sq(q0) - sq(q1) + sq(q2) - sq(q3);
const ftype SA4 = 1.0/sq(SA3);
const ftype SA5 = 1.0F/(sq(SA2)*SA4 + 1);
const ftype SA6 = 1.0F/SA3;
const ftype SA7 = SA2*SA4;
const ftype SA8 = 2*SA7;
const ftype SA9 = 2*SA6;
H_YAW[0] = SA5*(SA0*SA6 - SA8*q0);
@ -116,16 +116,16 @@ H_YAW[23] = 0;
// calculate 312 yaw observation matrix - option B
const float SB0 = 2*q0;
const float SB1 = 2*q1;
const float SB2 = -SB0*q3 + SB1*q2;
const float SB3 = powf(SB2, -2);
const float SB4 = -powf(q0, 2) + powf(q1, 2) - powf(q2, 2) + powf(q3, 2);
const float SB5 = 1.0F/(SB3*powf(SB4, 2) + 1);
const float SB6 = 1.0F/SB2;
const float SB7 = SB3*SB4;
const float SB8 = 2*SB7;
const float SB9 = 2*SB6;
const ftype SB0 = 2*q0;
const ftype SB1 = 2*q1;
const ftype SB2 = -SB0*q3 + SB1*q2;
const ftype SB3 = 1.0/sq(SB2);
const ftype SB4 = -sq(q0) + sq(q1) - sq(q2) + sq(q3);
const ftype SB5 = 1.0F/(SB3*sq(SB4) + 1);
const ftype SB6 = 1.0F/SB2;
const ftype SB7 = SB3*SB4;
const ftype SB8 = 2*SB7;
const ftype SB9 = 2*SB6;
H_YAW[0] = -SB5*(-SB0*SB6 + SB8*q3);